Will vaccination able to compress Covid cases?

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Worst affected countries by total number of cases

Daily cases in worst affected countries

Out of all India is worst suffering country
But the population of India is very high in compare to other countries, maybe looking at cases according to population give a better picture. The worst affected countries are USA, India, Brazil and France

Total cases per 1M population

The total cases per million of India is far too low in comparison to USA, France and Brazil. But the fact is not hidden that India is still suffering the most even being so low in terms of cases per million
So which country is worst effect with respect to its population? We can find it by analyzng the highest number of total cases per million population

Highest total cases per 1M population country wise

So countries like Andorra, Montenegro including USA is the worst affected country population wise

Highest number of cases in one day country wise

Highest number of vaccination in one day country wise

Countries with highest percentage of people fully vaccinated

By finding this we will find the countries which has highest number of people got fully vaccinated and by there we will find if the number of cases goes down after vaccination or if another wave hit the country or not after vaccination!

Number of cases in countries like Gibraltar and Israel are significantly compressed after vaccine started and no new wave has been seen after 95% of people are vaccinated in Gibraltar and around 60% of population in Isreal is fully vaccinated.
However countries like Chile and United Arab Emirates have seen new wave and number of cases are not going down this maybe because 90% of the vaccine used in Chile is Sinovac which is been questioned for its efficiency. UAE also used Sinovac in there country which doesn't seems like it made much effect on number of daily cases.

Vaccine variety percentage of Chile

Let's take a look at USA and India which are worst effect countries in the world

USA has somewhat controlled there number of cases, they are using Pfizer and Mederna vaccine, however USA still has long way to go.
India, even being biggest manufacturer of vaccine and doing vaccination on a large scale still struggling a lot because of its population, and it doesn't seems to stop any time soon.

Vaccine variety percentage of USA

Yes Vaccination is able to compress Covid cases when high efficient vaccines were used, like in USA. In case of Chile and UAE some low efficient vaccines were used that caused the cases to rise. Country like India need to rise the number of daily vaccination according to its population.